# Wednesday

CHALLENGE

These challenges are tricky - you don't have to do them!

If you have a go - Well Done!

If you need a clue scroll down the page.

Have a look at the challenges below, they involve multiples.

I'm thinking of a number.
My number is both a multiple of 5 and a multiple of 6.
What could my number be?
What else could it be?
What is the smallest number it could be?

I'm thinking of a number.
My number is a multiple of 45 and 6.
What could my number be?
What else could it be?
What is the smallest number it could be?

How to solve them

RED PROBLEM

Multiples of 5: 5, 10, 15, 20, 25, 30, 35
Multiples of 6: 6, 12, 18, 24, 30, 36
The first common multiple is 30.
You can work out other answers by multiplying 30 [by] any number.
For example: 30×4=120
120 can be divided by 6 and 5.
The smallest answer will be 30 because there is no other number, that is in the 30 times tables, that is smaller than 30.

BLUE PROBLEM

Write down the multiples of 4, 5 and 6. Then highlight the common multiples. From the highlighted numbers, you will find that the Lowest Common Multiple (LCM) is 60, meaning this is the smallest answer.

You can find out the other answers by multiplying 60 by any other number.

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